{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "da303c8b",
   "metadata": {},
   "source": [
    "# 学习策略\n",
    "在二类分类的监督学习中，支持向量机、逻辑斯谛回归与最大熵模型、提升方法各自使用合页损失函数、逻辑斯谛损失函数、指数损失函数，分别写为：\n",
    "\n",
    "$$\n",
    "[1-y f(x)]_{+}\n",
    "$$\n",
    "\n",
    "$$\n",
    "\\log[1+\\exp (-y f(x))]\n",
    "$$\n",
    "\n",
    "$$\n",
    "\\exp (-y f(x))\n",
    "$$\n",
    "\n",
    "这3种损失函数都是0-1损失函数的上界，具有相似的形状。(见下图，由代码生成）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "b74c646e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import math\n",
    "import matplotlib.pyplot as plt\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei']\n",
    "plt.rcParams['axes.unicode_minus'] = False\n",
    "plt.figure(figsize=(10,8))\n",
    "x = np.linspace(start=-1, stop=2, num=1001, dtype=np.float64)\n",
    "logi = np.log(1 + np.exp(-x)) / math.log(2)\n",
    "boost = np.exp(-x)\n",
    "y_01 = x < 0\n",
    "y_hinge = 1.0 - x\n",
    "y_hinge[y_hinge < 0] = 0\n",
    "\n",
    "plt.plot(x, y_01, 'g-', mec='k', label='（0/1损失）0/1 Loss', lw=2)\n",
    "plt.plot(x, y_hinge, 'b-', mec='k', label='（合页损失）Hinge Loss', lw=2)\n",
    "plt.plot(x, boost, 'm--', mec='k', label='（指数损失）Adaboost Loss', lw=2)\n",
    "plt.plot(x, logi, 'r-', mec='k', label='（逻辑斯谛损失）Logistic Loss', lw=2)\n",
    "plt.grid(True, ls='--')\n",
    "plt.legend(loc='upper right',fontsize=15)\n",
    "plt.xlabel('函数间隔:$yf(x)$',fontsize=20)\n",
    "plt.title('损失函数',fontsize=20)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.5"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
